137907906048
137,907,906,048 is an even composite number composed of six prime numbers multiplied together.
What does the number 137907906048 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
137907906048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 137907906048:
29 × 33 × 11 × 37 × 127 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 37 × 127 × 193)See below for interesting mathematical facts about the number 137907906048 from the Numbermatics database.
Names of 137907906048
- Cardinal: 137907906048 can be written as One hundred thirty-seven billion, nine hundred seven million, nine hundred six thousand and forty-eight.
Scientific notation
- Scientific notation: 1.37907906048 × 1011
Factors of 137907906048
Divisors of 137907906048
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 37 44 48 54 64 66 72 74 88 96 99 108 111 127 128 132 144 148 176 192 193 198 216 222 254 256 264 288 296 297 333 352 381 384 386 396 407 432 444 508 512 528 576 579 592 594 666 704 762 768 772 792 814 864 888 999 1016 1056 1143 1152 1158 1184 1188 1221 1332 1397 1408 1524 1536 1544 1584 1628 1728 1737 1776 1998 2032 2112 2123 2286 2304 2316 2368 2376 2442 2664 2794 2816 3048 3088 3168 3256 3429 3456 3474 3552 3663 3996 4064 4191 4224 4246 4572 4608 4632 4699 4736 4752 4884 5211 5328 5588 5632 6096 6176 6336 6369 6512 6858 6912 6948 7104 7141 7326 7992 8128 8382 8448 8492 9144 9264 9398 9472 9504 9768 10422 10656 10989 11176 12192 12352 12573 12672 12738 13024 13716 13824 13896 14097 14208 14282 14652 15984 16256 16764 16896 16984 18288 18528 18796 18944 19008 19107 19536 20844 21312 21423 21978 22352 24384 24511 24704 25146 25344 25476 26048 27432 27792 28194 28416 28564 29304 31968 32512 33528 33968 36576 37056 37592 37719 38016 38214 39072 41688 42291 42624 42846 43956 44704 48768 49022 49408 50292 50688 50952 51689 52096 54864 55584 56388 56832 57128 57321 58608 63936 64269 65024 67056 67936 73152 73533 74112 75184 75438 76032 76428 78144 78551 83376 84582 85248 85692 87912 89408 97536 98044 98816 100584 101904 103378 104192 109728 111168 112776 114256 114642 117216 126873 127872 128538 134112 135872 146304 147066 148224 150368 150876 152064 152856 155067 156288 157102 166752 169164 170496 171384 175824 178816 192807 195072 196088 201168 203808 206756 208384 219456 220599 222336 225552 228512 229284 234432 235653 253746 255744 257076 268224 269621 271744 292608 294132 296448 300736 301752 305712 310134 312576 314204 333504 338328 342768 351648 357632 385614 392176 402336 407616 413512 438912 441198 444672 451104 457024 458568 465201 468864 471306 507492 511488 514152 536448 539242 543488 585216 588264 601472 603504 611424 620268 625152 628408 661797 667008 676656 685536 703296 706959 715264 771228 784352 804672 808863 815232 827024 877824 882396 889344 902208 906907 914048 917136 930402 937728 942612 1014984 1028304 1072896 1078484 1086976 1176528 1202944 1207008 1222848 1240536 1256816 1323594 1334016 1353312 1371072 1395603 1406592 1413918 1542456 1568704 1609344 1617726 1630464 1654048 1755648 1764792 1804416 1813814 1828096 1834272 1860804 1875456 1885224 2029968 2056608 2120877 2145792 2156968 2353056 2405888 2414016 2426589 2445696 2481072 2513632 2647188 2668032 2706624 2720721 2742144 2791206 2813184 2827836 3084912 3137408 3218688 3235452 3260928 3308096 3529584 3608832 3627628 3656192 3668544 3721608 3770448 4059936 4113216 4241754 4313936 4706112 4828032 4853178 4891392 4962144 5027264 5294376 5413248 5441442 5484288 5582412 5626368 5655672 6169824 6274816 6437376 6470904 6616192 7059168 7217664 7255256 7279767 7337088 7443216 7540896 8119872 8162163 8226432 8483508 8627872 9412224 9656064 9706356 9782784 9924288 9975977 10054528 10588752 10826496 10882884 10968576 11164824 11311344 12339648 12549632 12941808 13232384 14118336 14510512 14559534 14674176 14886432 15081792 16239744 16324326 16452864 16967016 17255744 18824448 19312128 19412712 19848576 19951954 20109056 21177504 21652992 21765768 22329648 22622688 24486489 24679296 25883616 26464768 28236672 29021024 29119068 29348352 29772864 29927931 30163584 32479488 32648652 32905728 33934032 34511488 37648896 38825424 39697152 39903908 40218112 42355008 43531536 44659296 45245376 48972978 49358592 51767232 56473344 58042048 58238136 59545728 59855862 60327168 64958976 65297304 67868064 69022976 77650848 79394304 79807816 84710016 87063072 89318592 89783793 90490752 97945956 98717184 103534464 112946688 116084096 116476272 119091456 119711724 120654336 130594608 135736128 138045952 155301696 159615632 169420032 174126144 178637184 179567586 180981504 195891912 207068928 232168192 232952544 238182912 239423448 261189216 269351379 271472256 310603392 319231264 338840064 348252288 357274368 359135172 361963008 391783824 414137856 464336384 465905088 478846896 522378432 538702758 542944512 621206784 638462528 696504576 714548736 718270344 783567648 931810176 957693792 1044756864 1077405516 1085889024 1242413568 1276925056 1393009152 1436540688 1567135296 1863620352 1915387584 2089513728 2154811032 2553850112 2873081376 3134270592 3727240704 3830775168 4179027456 4309622064 5107700224 5746162752 6268541184 7661550336 8619244128 11492325504 12537082368 15323100672 17238488256 22984651008 34476976512 45969302016 68953953024 137907906048
- Sum of all divisors σ(n): 463353200640
- Sum of proper divisors (its aliquot sum) s(n): 325445294592
- 137907906048 is an abundant number, because the sum of its proper divisors (325445294592) is greater than itself. Its abundance is 187537388544
Bases of 137907906048
- Binary: 100000000110111111001110100110000000002
- Hexadecimal: 0x201BF3A600
- Base-36: 1RCQT1C0
Squares and roots of 137907906048
- 137907906048 squared (1379079060482) is 19018590550543994978304
- 137907906048 cubed (1379079060483) is 2622813998809801854758531830382592
-
The
square root of 137907906048 is 371359.5374404703 -
The
cube root of 137907906048 is 5166.4994573223
Scales and comparisons
How big is 137907906048?- 137,907,906,048 seconds is equal to 4,385 years, 2 weeks, 2 days, 7 hours, 40 minutes, 48 seconds.
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To count from 1 to 137,907,906,048 would take you about eight thousand, seven hundred seventy years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137907906048 cubic inches would be around 430.5 feet tall.
Recreational maths with 137907906048
- 137907906048 backwards is 840609709731
- 137907906048 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137907906048's digits is 54
- More coming soon!
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The information we have on file for 137907906048 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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